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Finding the Fourth Proportional to 180,859.47, 270,474.29 and 138,177.87

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Solution

The fourth proportional to 180,859.47, 270,474.29 and 138,177.87 is: 206,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,859.47 : 270,474.29 = 138,177.87 : x
  2. Step 2: Convert to fraction form
    180,859.47/270,474.29 = 138,177.87/x
  3. Step 3: Cross multiply
    180,859.47x = 270,474.29 × 138,177.87
  4. Step 4: Simplify right side
    180,859.47x = 37,373,560,591.07
  5. Step 5: Solve for x
    x = 37,373,560,591.07/180,859.47
  6. Step 6: Final answer
    x = 206,644.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.